Finding the Third Proportional to 148,913 and 321,152.50

Step by Step Solution

1. Step 1: Write the proportion equation
   148,913 : 321,152.50 = 321,152.50 : x
2. Step 2: Convert to fraction form
   148,913/321,152.50 = 321,152.50/x
3. Step 3: Cross multiply
   148,913x = 321,152.50 × 321,152.50
4. Step 4: Simplify right side
   148,913x = 103,138,928,256.25
5. Step 5: Solve for x
   x = 103,138,928,256.25/148,913
6. Step 6: Final answer
   x = 692,611.98