Finding the Third Proportional to 147,426 and 233,805.50

Step by Step Solution

1. Step 1: Write the proportion equation
   147,426 : 233,805.50 = 233,805.50 : x
2. Step 2: Convert to fraction form
   147,426/233,805.50 = 233,805.50/x
3. Step 3: Cross multiply
   147,426x = 233,805.50 × 233,805.50
4. Step 4: Simplify right side
   147,426x = 54,665,011,830.25
5. Step 5: Solve for x
   x = 54,665,011,830.25/147,426
6. Step 6: Final answer
   x = 370,796.28