Finding the Third Proportional to 174,465 and 261,690.75

Step by Step Solution

1. Step 1: Write the proportion equation
   174,465 : 261,690.75 = 261,690.75 : x
2. Step 2: Convert to fraction form
   174,465/261,690.75 = 261,690.75/x
3. Step 3: Cross multiply
   174,465x = 261,690.75 × 261,690.75
4. Step 4: Simplify right side
   174,465x = 68,482,048,635.56
5. Step 5: Solve for x
   x = 68,482,048,635.56/174,465
6. Step 6: Final answer
   x = 392,526.00