Finding the Third Proportional to 153,918 and 231,322.50

Step by Step Solution

1. Step 1: Write the proportion equation
   153,918 : 231,322.50 = 231,322.50 : x
2. Step 2: Convert to fraction form
   153,918/231,322.50 = 231,322.50/x
3. Step 3: Cross multiply
   153,918x = 231,322.50 × 231,322.50
4. Step 4: Simplify right side
   153,918x = 53,510,099,006.25
5. Step 5: Solve for x
   x = 53,510,099,006.25/153,918
6. Step 6: Final answer
   x = 347,653.29