Finding the Third Proportional to 42,117 and 93,574.50

Step by Step Solution

1. Step 1: Write the proportion equation
   42,117 : 93,574.50 = 93,574.50 : x
2. Step 2: Convert to fraction form
   42,117/93,574.50 = 93,574.50/x
3. Step 3: Cross multiply
   42,117x = 93,574.50 × 93,574.50
4. Step 4: Simplify right side
   42,117x = 8,756,187,050.25
5. Step 5: Solve for x
   x = 8,756,187,050.25/42,117
6. Step 6: Final answer
   x = 207,901.49