Finding the Third Proportional to 185,727 and 407,056.50

Step by Step Solution

1. Step 1: Write the proportion equation
   185,727 : 407,056.50 = 407,056.50 : x
2. Step 2: Convert to fraction form
   185,727/407,056.50 = 407,056.50/x
3. Step 3: Cross multiply
   185,727x = 407,056.50 × 407,056.50
4. Step 4: Simplify right side
   185,727x = 165,694,994,192.25
5. Step 5: Solve for x
   x = 165,694,994,192.25/185,727
6. Step 6: Final answer
   x = 892,142.74