Finding the Third Proportional to 157,680 and 238,152

Step by Step Solution

1. Step 1: Write the proportion equation
   157,680 : 238,152 = 238,152 : x
2. Step 2: Convert to fraction form
   157,680/238,152 = 238,152/x
3. Step 3: Cross multiply
   157,680x = 238,152 × 238,152
4. Step 4: Simplify right side
   157,680x = 56,716,375,104
5. Step 5: Solve for x
   x = 56,716,375,104/157,680
6. Step 6: Final answer
   x = 359,692.89