Finding the Third Proportional to 401,619 and 535,432.50

Step by Step Solution

1. Step 1: Write the proportion equation
   401,619 : 535,432.50 = 535,432.50 : x
2. Step 2: Convert to fraction form
   401,619/535,432.50 = 535,432.50/x
3. Step 3: Cross multiply
   401,619x = 535,432.50 × 535,432.50
4. Step 4: Simplify right side
   401,619x = 286,687,962,056.25
5. Step 5: Solve for x
   x = 286,687,962,056.25/401,619
6. Step 6: Final answer
   x = 713,830.68