Finding the Third Proportional to 174,261 and 260,698.50

Step by Step Solution

1. Step 1: Write the proportion equation
   174,261 : 260,698.50 = 260,698.50 : x
2. Step 2: Convert to fraction form
   174,261/260,698.50 = 260,698.50/x
3. Step 3: Cross multiply
   174,261x = 260,698.50 × 260,698.50
4. Step 4: Simplify right side
   174,261x = 67,963,707,902.25
5. Step 5: Solve for x
   x = 67,963,707,902.25/174,261
6. Step 6: Final answer
   x = 390,011.01