Finding the Third Proportional to 83,385 and 113,292

Step by Step Solution

1. Step 1: Write the proportion equation
   83,385 : 113,292 = 113,292 : x
2. Step 2: Convert to fraction form
   83,385/113,292 = 113,292/x
3. Step 3: Cross multiply
   83,385x = 113,292 × 113,292
4. Step 4: Simplify right side
   83,385x = 12,835,077,264
5. Step 5: Solve for x
   x = 12,835,077,264/83,385
6. Step 6: Final answer
   x = 153,925.49