Finding the Third Proportional to 101,159 and 152,063

Step by Step Solution

1. Step 1: Write the proportion equation
   101,159 : 152,063 = 152,063 : x
2. Step 2: Convert to fraction form
   101,159/152,063 = 152,063/x
3. Step 3: Cross multiply
   101,159x = 152,063 × 152,063
4. Step 4: Simplify right side
   101,159x = 23,123,155,969
5. Step 5: Solve for x
   x = 23,123,155,969/101,159
6. Step 6: Final answer
   x = 228,582.29