Finding the Third Proportional to 216,324 and 296,779.50

Step by Step Solution

1. Step 1: Write the proportion equation
   216,324 : 296,779.50 = 296,779.50 : x
2. Step 2: Convert to fraction form
   216,324/296,779.50 = 296,779.50/x
3. Step 3: Cross multiply
   216,324x = 296,779.50 × 296,779.50
4. Step 4: Simplify right side
   216,324x = 88,078,071,620.25
5. Step 5: Solve for x
   x = 88,078,071,620.25/216,324
6. Step 6: Final answer
   x = 407,158.11