Finding the Third Proportional to 174,358 and 269,423.50

Step by Step Solution

1. Step 1: Write the proportion equation
   174,358 : 269,423.50 = 269,423.50 : x
2. Step 2: Convert to fraction form
   174,358/269,423.50 = 269,423.50/x
3. Step 3: Cross multiply
   174,358x = 269,423.50 × 269,423.50
4. Step 4: Simplify right side
   174,358x = 72,589,022,352.25
5. Step 5: Solve for x
   x = 72,589,022,352.25/174,358
6. Step 6: Final answer
   x = 416,321.72