Finding the Third Proportional to 77,292 and 117,013.50

Step by Step Solution

1. Step 1: Write the proportion equation
   77,292 : 117,013.50 = 117,013.50 : x
2. Step 2: Convert to fraction form
   77,292/117,013.50 = 117,013.50/x
3. Step 3: Cross multiply
   77,292x = 117,013.50 × 117,013.50
4. Step 4: Simplify right side
   77,292x = 13,692,159,182.25
5. Step 5: Solve for x
   x = 13,692,159,182.25/77,292
6. Step 6: Final answer
   x = 177,148.47