Finding the Third Proportional to 59,384 and 91,316

Step by Step Solution

1. Step 1: Write the proportion equation
   59,384 : 91,316 = 91,316 : x
2. Step 2: Convert to fraction form
   59,384/91,316 = 91,316/x
3. Step 3: Cross multiply
   59,384x = 91,316 × 91,316
4. Step 4: Simplify right side
   59,384x = 8,338,611,856
5. Step 5: Solve for x
   x = 8,338,611,856/59,384
6. Step 6: Final answer
   x = 140,418.49