Finding the Third Proportional to 102,262.50 and 148,837.50

Step by Step Solution

1. Step 1: Write the proportion equation
   102,262.50 : 148,837.50 = 148,837.50 : x
2. Step 2: Convert to fraction form
   102,262.50/148,837.50 = 148,837.50/x
3. Step 3: Cross multiply
   102,262.50x = 148,837.50 × 148,837.50
4. Step 4: Simplify right side
   102,262.50x = 22,152,601,406.25
5. Step 5: Solve for x
   x = 22,152,601,406.25/102,262.50
6. Step 6: Final answer
   x = 216,624.88