Finding the Third Proportional to 174,558 and 266,911.50

Step by Step Solution

1. Step 1: Write the proportion equation
   174,558 : 266,911.50 = 266,911.50 : x
2. Step 2: Convert to fraction form
   174,558/266,911.50 = 266,911.50/x
3. Step 3: Cross multiply
   174,558x = 266,911.50 × 266,911.50
4. Step 4: Simplify right side
   174,558x = 71,241,748,832.25
5. Step 5: Solve for x
   x = 71,241,748,832.25/174,558
6. Step 6: Final answer
   x = 408,126.52