Finding the Third Proportional to 101,346 and 152,627

Step by Step Solution

1. Step 1: Write the proportion equation
   101,346 : 152,627 = 152,627 : x
2. Step 2: Convert to fraction form
   101,346/152,627 = 152,627/x
3. Step 3: Cross multiply
   101,346x = 152,627 × 152,627
4. Step 4: Simplify right side
   101,346x = 23,295,001,129
5. Step 5: Solve for x
   x = 23,295,001,129/101,346
6. Step 6: Final answer
   x = 229,856.15