Finding the Third Proportional to 175,464 and 262,026.50

Step by Step Solution

1. Step 1: Write the proportion equation
   175,464 : 262,026.50 = 262,026.50 : x
2. Step 2: Convert to fraction form
   175,464/262,026.50 = 262,026.50/x
3. Step 3: Cross multiply
   175,464x = 262,026.50 × 262,026.50
4. Step 4: Simplify right side
   175,464x = 68,657,886,702.25
5. Step 5: Solve for x
   x = 68,657,886,702.25/175,464
6. Step 6: Final answer
   x = 391,293.29