Finding the Third Proportional to 103,770 and 152,211.75

Step by Step Solution

1. Step 1: Write the proportion equation
   103,770 : 152,211.75 = 152,211.75 : x
2. Step 2: Convert to fraction form
   103,770/152,211.75 = 152,211.75/x
3. Step 3: Cross multiply
   103,770x = 152,211.75 × 152,211.75
4. Step 4: Simplify right side
   103,770x = 23,168,416,838.06
5. Step 5: Solve for x
   x = 23,168,416,838.06/103,770
6. Step 6: Final answer
   x = 223,267.00