Finding the Third Proportional to 59,213 and 91,664

Step by Step Solution

1. Step 1: Write the proportion equation
   59,213 : 91,664 = 91,664 : x
2. Step 2: Convert to fraction form
   59,213/91,664 = 91,664/x
3. Step 3: Cross multiply
   59,213x = 91,664 × 91,664
4. Step 4: Simplify right side
   59,213x = 8,402,288,896
5. Step 5: Solve for x
   x = 8,402,288,896/59,213
6. Step 6: Final answer
   x = 141,899.40