Finding the Third Proportional to 148,914 and 321,154.50

Step by Step Solution

1. Step 1: Write the proportion equation
   148,914 : 321,154.50 = 321,154.50 : x
2. Step 2: Convert to fraction form
   148,914/321,154.50 = 321,154.50/x
3. Step 3: Cross multiply
   148,914x = 321,154.50 × 321,154.50
4. Step 4: Simplify right side
   148,914x = 103,140,212,870.25
5. Step 5: Solve for x
   x = 103,140,212,870.25/148,914
6. Step 6: Final answer
   x = 692,615.96