Finding the Third Proportional to 219,161 and 296,989.50

Step by Step Solution

1. Step 1: Write the proportion equation
   219,161 : 296,989.50 = 296,989.50 : x
2. Step 2: Convert to fraction form
   219,161/296,989.50 = 296,989.50/x
3. Step 3: Cross multiply
   219,161x = 296,989.50 × 296,989.50
4. Step 4: Simplify right side
   219,161x = 88,202,763,110.25
5. Step 5: Solve for x
   x = 88,202,763,110.25/219,161
6. Step 6: Final answer
   x = 402,456.47