Finding the Third Proportional to 77,265 and 116,980.50

Step by Step Solution

1. Step 1: Write the proportion equation
   77,265 : 116,980.50 = 116,980.50 : x
2. Step 2: Convert to fraction form
   77,265/116,980.50 = 116,980.50/x
3. Step 3: Cross multiply
   77,265x = 116,980.50 × 116,980.50
4. Step 4: Simplify right side
   77,265x = 13,684,437,380.25
5. Step 5: Solve for x
   x = 13,684,437,380.25/77,265
6. Step 6: Final answer
   x = 177,110.43