Finding the Third Proportional to 42,612 and 92,914.50

Step by Step Solution

1. Step 1: Write the proportion equation
   42,612 : 92,914.50 = 92,914.50 : x
2. Step 2: Convert to fraction form
   42,612/92,914.50 = 92,914.50/x
3. Step 3: Cross multiply
   42,612x = 92,914.50 × 92,914.50
4. Step 4: Simplify right side
   42,612x = 8,633,104,310.25
5. Step 5: Solve for x
   x = 8,633,104,310.25/42,612
6. Step 6: Final answer
   x = 202,597.96