Finding the Third Proportional to 101,505 and 151,852.50

Step by Step Solution

1. Step 1: Write the proportion equation
   101,505 : 151,852.50 = 151,852.50 : x
2. Step 2: Convert to fraction form
   101,505/151,852.50 = 151,852.50/x
3. Step 3: Cross multiply
   101,505x = 151,852.50 × 151,852.50
4. Step 4: Simplify right side
   101,505x = 23,059,181,756.25
5. Step 5: Solve for x
   x = 23,059,181,756.25/101,505
6. Step 6: Final answer
   x = 227,172.87