Finding the Third Proportional to 177,237 and 272,426.63

Step by Step Solution

1. Step 1: Write the proportion equation
   177,237 : 272,426.63 = 272,426.63 : x
2. Step 2: Convert to fraction form
   177,237/272,426.63 = 272,426.63/x
3. Step 3: Cross multiply
   177,237x = 272,426.63 × 272,426.63
4. Step 4: Simplify right side
   177,237x = 74,216,266,008.89
5. Step 5: Solve for x
   x = 74,216,266,008.89/177,237
6. Step 6: Final answer
   x = 418,740.25