Finding the Third Proportional to 98,058 and 214,098.50

Step by Step Solution

1. Step 1: Write the proportion equation
   98,058 : 214,098.50 = 214,098.50 : x
2. Step 2: Convert to fraction form
   98,058/214,098.50 = 214,098.50/x
3. Step 3: Cross multiply
   98,058x = 214,098.50 × 214,098.50
4. Step 4: Simplify right side
   98,058x = 45,838,167,702.25
5. Step 5: Solve for x
   x = 45,838,167,702.25/98,058
6. Step 6: Final answer
   x = 467,459.75