Finding the Third Proportional to 77,715 and 114,931.50

Step by Step Solution

1. Step 1: Write the proportion equation
   77,715 : 114,931.50 = 114,931.50 : x
2. Step 2: Convert to fraction form
   77,715/114,931.50 = 114,931.50/x
3. Step 3: Cross multiply
   77,715x = 114,931.50 × 114,931.50
4. Step 4: Simplify right side
   77,715x = 13,209,249,692.25
5. Step 5: Solve for x
   x = 13,209,249,692.25/77,715
6. Step 6: Final answer
   x = 169,970.40