Finding the Third Proportional to 103,699 and 152,146

Step by Step Solution

1. Step 1: Write the proportion equation
   103,699 : 152,146 = 152,146 : x
2. Step 2: Convert to fraction form
   103,699/152,146 = 152,146/x
3. Step 3: Cross multiply
   103,699x = 152,146 × 152,146
4. Step 4: Simplify right side
   103,699x = 23,148,405,316
5. Step 5: Solve for x
   x = 23,148,405,316/103,699
6. Step 6: Final answer
   x = 223,226.89