Finding the Third Proportional to 83,385 and 122,872.50

Step by Step Solution

1. Step 1: Write the proportion equation
   83,385 : 122,872.50 = 122,872.50 : x
2. Step 2: Convert to fraction form
   83,385/122,872.50 = 122,872.50/x
3. Step 3: Cross multiply
   83,385x = 122,872.50 × 122,872.50
4. Step 4: Simplify right side
   83,385x = 15,097,651,256.25
5. Step 5: Solve for x
   x = 15,097,651,256.25/83,385
6. Step 6: Final answer
   x = 181,059.56