Finding the Third Proportional to 211,464 and 493,432.50

Step by Step Solution

1. Step 1: Write the proportion equation
   211,464 : 493,432.50 = 493,432.50 : x
2. Step 2: Convert to fraction form
   211,464/493,432.50 = 493,432.50/x
3. Step 3: Cross multiply
   211,464x = 493,432.50 × 493,432.50
4. Step 4: Simplify right side
   211,464x = 243,475,632,056.25
5. Step 5: Solve for x
   x = 243,475,632,056.25/211,464
6. Step 6: Final answer
   x = 1,151,381.00