Finding the Third Proportional to 81,643,153,237 and 113,518,278,680

Step by Step Solution

1. Step 1: Write the proportion equation
   81,643,153,237 : 113,518,278,680 = 113,518,278,680 : x
2. Step 2: Convert to fraction form
   81,643,153,237/113,518,278,680 = 113,518,278,680/x
3. Step 3: Cross multiply
   81,643,153,237x = 113,518,278,680 × 113,518,278,680
4. Step 4: Simplify right side
   81,643,153,237x = 12,886,399,594,470,142,115,840
5. Step 5: Solve for x
   x = 12,886,399,594,470,142,115,840/81,643,153,237
6. Step 6: Final answer
   x = 157,838,092,767.71