Finding the Third Proportional to 100,875.50 and 151,748.50

Step by Step Solution

1. Step 1: Write the proportion equation
   100,875.50 : 151,748.50 = 151,748.50 : x
2. Step 2: Convert to fraction form
   100,875.50/151,748.50 = 151,748.50/x
3. Step 3: Cross multiply
   100,875.50x = 151,748.50 × 151,748.50
4. Step 4: Simplify right side
   100,875.50x = 23,027,607,252.25
5. Step 5: Solve for x
   x = 23,027,607,252.25/100,875.50
6. Step 6: Final answer
   x = 228,277.50