Finding the Third Proportional to 101,021 and 151,531.50

Step by Step Solution

1. Step 1: Write the proportion equation
   101,021 : 151,531.50 = 151,531.50 : x
2. Step 2: Convert to fraction form
   101,021/151,531.50 = 151,531.50/x
3. Step 3: Cross multiply
   101,021x = 151,531.50 × 151,531.50
4. Step 4: Simplify right side
   101,021x = 22,961,795,492.25
5. Step 5: Solve for x
   x = 22,961,795,492.25/101,021
6. Step 6: Final answer
   x = 227,297.25