Finding the Third Proportional to 149,602.50 and 322,983

Step by Step Solution

1. Step 1: Write the proportion equation
   149,602.50 : 322,983 = 322,983 : x
2. Step 2: Convert to fraction form
   149,602.50/322,983 = 322,983/x
3. Step 3: Cross multiply
   149,602.50x = 322,983 × 322,983
4. Step 4: Simplify right side
   149,602.50x = 104,318,018,289
5. Step 5: Solve for x
   x = 104,318,018,289/149,602.50
6. Step 6: Final answer
   x = 697,301.30