Finding the Third Proportional to 156,091 and 233,510

Step by Step Solution

1. Step 1: Write the proportion equation
   156,091 : 233,510 = 233,510 : x
2. Step 2: Convert to fraction form
   156,091/233,510 = 233,510/x
3. Step 3: Cross multiply
   156,091x = 233,510 × 233,510
4. Step 4: Simplify right side
   156,091x = 54,526,920,100
5. Step 5: Solve for x
   x = 54,526,920,100/156,091
6. Step 6: Final answer
   x = 349,327.76