Finding the Third Proportional to 42,938 and 92,225.50

Step by Step Solution

1. Step 1: Write the proportion equation
   42,938 : 92,225.50 = 92,225.50 : x
2. Step 2: Convert to fraction form
   42,938/92,225.50 = 92,225.50/x
3. Step 3: Cross multiply
   42,938x = 92,225.50 × 92,225.50
4. Step 4: Simplify right side
   42,938x = 8,505,542,850.25
5. Step 5: Solve for x
   x = 8,505,542,850.25/42,938
6. Step 6: Final answer
   x = 198,088.94