Finding the Third Proportional to 101,154 and 152,058

Step by Step Solution

1. Step 1: Write the proportion equation
   101,154 : 152,058 = 152,058 : x
2. Step 2: Convert to fraction form
   101,154/152,058 = 152,058/x
3. Step 3: Cross multiply
   101,154x = 152,058 × 152,058
4. Step 4: Simplify right side
   101,154x = 23,121,635,364
5. Step 5: Solve for x
   x = 23,121,635,364/101,154
6. Step 6: Final answer
   x = 228,578.56