Finding the Third Proportional to 182,259 and 392,457.50

Step by Step Solution

1. Step 1: Write the proportion equation
   182,259 : 392,457.50 = 392,457.50 : x
2. Step 2: Convert to fraction form
   182,259/392,457.50 = 392,457.50/x
3. Step 3: Cross multiply
   182,259x = 392,457.50 × 392,457.50
4. Step 4: Simplify right side
   182,259x = 154,022,889,306.25
5. Step 5: Solve for x
   x = 154,022,889,306.25/182,259
6. Step 6: Final answer
   x = 845,077.00