Finding the Third Proportional to 83,654 and 113,490

Step by Step Solution

1. Step 1: Write the proportion equation
   83,654 : 113,490 = 113,490 : x
2. Step 2: Convert to fraction form
   83,654/113,490 = 113,490/x
3. Step 3: Cross multiply
   83,654x = 113,490 × 113,490
4. Step 4: Simplify right side
   83,654x = 12,879,980,100
5. Step 5: Solve for x
   x = 12,879,980,100/83,654
6. Step 6: Final answer
   x = 153,967.30