Finding the Third Proportional to 42,117 and 90,793.50

Step by Step Solution

1. Step 1: Write the proportion equation
   42,117 : 90,793.50 = 90,793.50 : x
2. Step 2: Convert to fraction form
   42,117/90,793.50 = 90,793.50/x
3. Step 3: Cross multiply
   42,117x = 90,793.50 × 90,793.50
4. Step 4: Simplify right side
   42,117x = 8,243,459,642.25
5. Step 5: Solve for x
   x = 8,243,459,642.25/42,117
6. Step 6: Final answer
   x = 195,727.61