Finding the Third Proportional to 77,500 and 109,693

Step by Step Solution

1. Step 1: Write the proportion equation
   77,500 : 109,693 = 109,693 : x
2. Step 2: Convert to fraction form
   77,500/109,693 = 109,693/x
3. Step 3: Cross multiply
   77,500x = 109,693 × 109,693
4. Step 4: Simplify right side
   77,500x = 12,032,554,249
5. Step 5: Solve for x
   x = 12,032,554,249/77,500
6. Step 6: Final answer
   x = 155,258.76