Finding the Third Proportional to 59,657 and 91,358

Step by Step Solution

1. Step 1: Write the proportion equation
   59,657 : 91,358 = 91,358 : x
2. Step 2: Convert to fraction form
   59,657/91,358 = 91,358/x
3. Step 3: Cross multiply
   59,657x = 91,358 × 91,358
4. Step 4: Simplify right side
   59,657x = 8,346,284,164
5. Step 5: Solve for x
   x = 8,346,284,164/59,657
6. Step 6: Final answer
   x = 139,904.52