Finding the Third Proportional to 101,166.50 and 152,011

Step by Step Solution

1. Step 1: Write the proportion equation
   101,166.50 : 152,011 = 152,011 : x
2. Step 2: Convert to fraction form
   101,166.50/152,011 = 152,011/x
3. Step 3: Cross multiply
   101,166.50x = 152,011 × 152,011
4. Step 4: Simplify right side
   101,166.50x = 23,107,344,121
5. Step 5: Solve for x
   x = 23,107,344,121/101,166.50
6. Step 6: Final answer
   x = 228,409.05