Finding the Third Proportional to 174,985 and 271,465.50

Step by Step Solution

1. Step 1: Write the proportion equation
   174,985 : 271,465.50 = 271,465.50 : x
2. Step 2: Convert to fraction form
   174,985/271,465.50 = 271,465.50/x
3. Step 3: Cross multiply
   174,985x = 271,465.50 × 271,465.50
4. Step 4: Simplify right side
   174,985x = 73,693,517,690.25
5. Step 5: Solve for x
   x = 73,693,517,690.25/174,985
6. Step 6: Final answer
   x = 421,141.91