Finding the Third Proportional to 102,947.50 and 222,297

Step by Step Solution

1. Step 1: Write the proportion equation
   102,947.50 : 222,297 = 222,297 : x
2. Step 2: Convert to fraction form
   102,947.50/222,297 = 222,297/x
3. Step 3: Cross multiply
   102,947.50x = 222,297 × 222,297
4. Step 4: Simplify right side
   102,947.50x = 49,415,956,209
5. Step 5: Solve for x
   x = 49,415,956,209/102,947.50
6. Step 6: Final answer
   x = 480,011.23