Finding the Third Proportional to 74,334 and 154,822.50

Step by Step Solution

1. Step 1: Write the proportion equation
   74,334 : 154,822.50 = 154,822.50 : x
2. Step 2: Convert to fraction form
   74,334/154,822.50 = 154,822.50/x
3. Step 3: Cross multiply
   74,334x = 154,822.50 × 154,822.50
4. Step 4: Simplify right side
   74,334x = 23,970,006,506.25
5. Step 5: Solve for x
   x = 23,970,006,506.25/74,334
6. Step 6: Final answer
   x = 322,463.56