Finding the Third Proportional to 77,500 and 116,820

Step by Step Solution

1. Step 1: Write the proportion equation
   77,500 : 116,820 = 116,820 : x
2. Step 2: Convert to fraction form
   77,500/116,820 = 116,820/x
3. Step 3: Cross multiply
   77,500x = 116,820 × 116,820
4. Step 4: Simplify right side
   77,500x = 13,646,912,400
5. Step 5: Solve for x
   x = 13,646,912,400/77,500
6. Step 6: Final answer
   x = 176,089.19