Finding the Third Proportional to 45,889.50 and 97,294.50

Step by Step Solution

1. Step 1: Write the proportion equation
   45,889.50 : 97,294.50 = 97,294.50 : x
2. Step 2: Convert to fraction form
   45,889.50/97,294.50 = 97,294.50/x
3. Step 3: Cross multiply
   45,889.50x = 97,294.50 × 97,294.50
4. Step 4: Simplify right side
   45,889.50x = 9,466,219,730.25
5. Step 5: Solve for x
   x = 9,466,219,730.25/45,889.50
6. Step 6: Final answer
   x = 206,282.91