Finding the Third Proportional to 182,375 and 272,832.50

Step by Step Solution

1. Step 1: Write the proportion equation
   182,375 : 272,832.50 = 272,832.50 : x
2. Step 2: Convert to fraction form
   182,375/272,832.50 = 272,832.50/x
3. Step 3: Cross multiply
   182,375x = 272,832.50 × 272,832.50
4. Step 4: Simplify right side
   182,375x = 74,437,573,056.25
5. Step 5: Solve for x
   x = 74,437,573,056.25/182,375
6. Step 6: Final answer
   x = 408,156.67