Finding the Third Proportional to 147,248 and 233,538

Step by Step Solution

1. Step 1: Write the proportion equation
   147,248 : 233,538 = 233,538 : x
2. Step 2: Convert to fraction form
   147,248/233,538 = 233,538/x
3. Step 3: Cross multiply
   147,248x = 233,538 × 233,538
4. Step 4: Simplify right side
   147,248x = 54,539,997,444
5. Step 5: Solve for x
   x = 54,539,997,444/147,248
6. Step 6: Final answer
   x = 370,395.51