Finding the Third Proportional to 42,374 and 92,038.50

Step by Step Solution

1. Step 1: Write the proportion equation
   42,374 : 92,038.50 = 92,038.50 : x
2. Step 2: Convert to fraction form
   42,374/92,038.50 = 92,038.50/x
3. Step 3: Cross multiply
   42,374x = 92,038.50 × 92,038.50
4. Step 4: Simplify right side
   42,374x = 8,471,085,482.25
5. Step 5: Solve for x
   x = 8,471,085,482.25/42,374
6. Step 6: Final answer
   x = 199,912.34