Finding the Third Proportional to 279,261 and 431,527.50

Step by Step Solution

1. Step 1: Write the proportion equation
   279,261 : 431,527.50 = 431,527.50 : x
2. Step 2: Convert to fraction form
   279,261/431,527.50 = 431,527.50/x
3. Step 3: Cross multiply
   279,261x = 431,527.50 × 431,527.50
4. Step 4: Simplify right side
   279,261x = 186,215,983,256.25
5. Step 5: Solve for x
   x = 186,215,983,256.25/279,261
6. Step 6: Final answer
   x = 666,817.00