Finding the Third Proportional to 77,602.50 and 123,086.25

Step by Step Solution

1. Step 1: Write the proportion equation
   77,602.50 : 123,086.25 = 123,086.25 : x
2. Step 2: Convert to fraction form
   77,602.50/123,086.25 = 123,086.25/x
3. Step 3: Cross multiply
   77,602.50x = 123,086.25 × 123,086.25
4. Step 4: Simplify right side
   77,602.50x = 15,150,224,939.06
5. Step 5: Solve for x
   x = 15,150,224,939.06/77,602.50
6. Step 6: Final answer
   x = 195,228.57