Finding the Third Proportional to 205,512 and 307,432.50

Step by Step Solution

1. Step 1: Write the proportion equation
   205,512 : 307,432.50 = 307,432.50 : x
2. Step 2: Convert to fraction form
   205,512/307,432.50 = 307,432.50/x
3. Step 3: Cross multiply
   205,512x = 307,432.50 × 307,432.50
4. Step 4: Simplify right side
   205,512x = 94,514,742,056.25
5. Step 5: Solve for x
   x = 94,514,742,056.25/205,512
6. Step 6: Final answer
   x = 459,898.90