Finding the Third Proportional to 98,464 and 210,938.50

Step by Step Solution

1. Step 1: Write the proportion equation
   98,464 : 210,938.50 = 210,938.50 : x
2. Step 2: Convert to fraction form
   98,464/210,938.50 = 210,938.50/x
3. Step 3: Cross multiply
   98,464x = 210,938.50 × 210,938.50
4. Step 4: Simplify right side
   98,464x = 44,495,050,782.25
5. Step 5: Solve for x
   x = 44,495,050,782.25/98,464
6. Step 6: Final answer
   x = 451,891.56