Finding the Third Proportional to 77,513 and 116,270

Step by Step Solution

1. Step 1: Write the proportion equation
   77,513 : 116,270 = 116,270 : x
2. Step 2: Convert to fraction form
   77,513/116,270 = 116,270/x
3. Step 3: Cross multiply
   77,513x = 116,270 × 116,270
4. Step 4: Simplify right side
   77,513x = 13,518,712,900
5. Step 5: Solve for x
   x = 13,518,712,900/77,513
6. Step 6: Final answer
   x = 174,405.75