Finding the Third Proportional to 182,772 and 272,641.50

Step by Step Solution

1. Step 1: Write the proportion equation
   182,772 : 272,641.50 = 272,641.50 : x
2. Step 2: Convert to fraction form
   182,772/272,641.50 = 272,641.50/x
3. Step 3: Cross multiply
   182,772x = 272,641.50 × 272,641.50
4. Step 4: Simplify right side
   182,772x = 74,333,387,522.25
5. Step 5: Solve for x
   x = 74,333,387,522.25/182,772
6. Step 6: Final answer
   x = 406,700.08