Finding the Third Proportional to 157,688 and 238,164

Step by Step Solution

1. Step 1: Write the proportion equation
   157,688 : 238,164 = 238,164 : x
2. Step 2: Convert to fraction form
   157,688/238,164 = 238,164/x
3. Step 3: Cross multiply
   157,688x = 238,164 × 238,164
4. Step 4: Simplify right side
   157,688x = 56,722,090,896
5. Step 5: Solve for x
   x = 56,722,090,896/157,688
6. Step 6: Final answer
   x = 359,710.89