Finding the Third Proportional to 77,665.50 and 115,404.75

Step by Step Solution

1. Step 1: Write the proportion equation
   77,665.50 : 115,404.75 = 115,404.75 : x
2. Step 2: Convert to fraction form
   77,665.50/115,404.75 = 115,404.75/x
3. Step 3: Cross multiply
   77,665.50x = 115,404.75 × 115,404.75
4. Step 4: Simplify right side
   77,665.50x = 13,318,256,322.56
5. Step 5: Solve for x
   x = 13,318,256,322.56/77,665.50
6. Step 6: Final answer
   x = 171,482.27