Finding the Third Proportional to 77,715 and 116,572.50

Step by Step Solution

1. Step 1: Write the proportion equation
   77,715 : 116,572.50 = 116,572.50 : x
2. Step 2: Convert to fraction form
   77,715/116,572.50 = 116,572.50/x
3. Step 3: Cross multiply
   77,715x = 116,572.50 × 116,572.50
4. Step 4: Simplify right side
   77,715x = 13,589,147,756.25
5. Step 5: Solve for x
   x = 13,589,147,756.25/77,715
6. Step 6: Final answer
   x = 174,858.75