Finding the Third Proportional to 40,374 and 86,269.50

Step by Step Solution

1. Step 1: Write the proportion equation
   40,374 : 86,269.50 = 86,269.50 : x
2. Step 2: Convert to fraction form
   40,374/86,269.50 = 86,269.50/x
3. Step 3: Cross multiply
   40,374x = 86,269.50 × 86,269.50
4. Step 4: Simplify right side
   40,374x = 7,442,426,630.25
5. Step 5: Solve for x
   x = 7,442,426,630.25/40,374
6. Step 6: Final answer
   x = 184,337.11