Finding the Third Proportional to 42,466 and 93,499

Step by Step Solution

1. Step 1: Write the proportion equation
   42,466 : 93,499 = 93,499 : x
2. Step 2: Convert to fraction form
   42,466/93,499 = 93,499/x
3. Step 3: Cross multiply
   42,466x = 93,499 × 93,499
4. Step 4: Simplify right side
   42,466x = 8,742,063,001
5. Step 5: Solve for x
   x = 8,742,063,001/42,466
6. Step 6: Final answer
   x = 205,860.29