Finding the Third Proportional to 101,490 and 152,253

Step by Step Solution

1. Step 1: Write the proportion equation
   101,490 : 152,253 = 152,253 : x
2. Step 2: Convert to fraction form
   101,490/152,253 = 152,253/x
3. Step 3: Cross multiply
   101,490x = 152,253 × 152,253
4. Step 4: Simplify right side
   101,490x = 23,180,976,009
5. Step 5: Solve for x
   x = 23,180,976,009/101,490
6. Step 6: Final answer
   x = 228,406.50