Finding the Third Proportional to 156,111 and 233,538

Step by Step Solution

1. Step 1: Write the proportion equation
   156,111 : 233,538 = 233,538 : x
2. Step 2: Convert to fraction form
   156,111/233,538 = 233,538/x
3. Step 3: Cross multiply
   156,111x = 233,538 × 233,538
4. Step 4: Simplify right side
   156,111x = 54,539,997,444
5. Step 5: Solve for x
   x = 54,539,997,444/156,111
6. Step 6: Final answer
   x = 349,366.78