Finding the Third Proportional to 103,486.50 and 151,822.50

Step by Step Solution

1. Step 1: Write the proportion equation
   103,486.50 : 151,822.50 = 151,822.50 : x
2. Step 2: Convert to fraction form
   103,486.50/151,822.50 = 151,822.50/x
3. Step 3: Cross multiply
   103,486.50x = 151,822.50 × 151,822.50
4. Step 4: Simplify right side
   103,486.50x = 23,050,071,506.25
5. Step 5: Solve for x
   x = 23,050,071,506.25/103,486.50
6. Step 6: Final answer
   x = 222,735.06