Finding the Third Proportional to 156,144 and 233,788

Step by Step Solution

1. Step 1: Write the proportion equation
   156,144 : 233,788 = 233,788 : x
2. Step 2: Convert to fraction form
   156,144/233,788 = 233,788/x
3. Step 3: Cross multiply
   156,144x = 233,788 × 233,788
4. Step 4: Simplify right side
   156,144x = 54,656,828,944
5. Step 5: Solve for x
   x = 54,656,828,944/156,144
6. Step 6: Final answer
   x = 350,041.17