Finding the Third Proportional to 91,206 and 153,211.50

Step by Step Solution

1. Step 1: Write the proportion equation
   91,206 : 153,211.50 = 153,211.50 : x
2. Step 2: Convert to fraction form
   91,206/153,211.50 = 153,211.50/x
3. Step 3: Cross multiply
   91,206x = 153,211.50 × 153,211.50
4. Step 4: Simplify right side
   91,206x = 23,473,763,732.25
5. Step 5: Solve for x
   x = 23,473,763,732.25/91,206
6. Step 6: Final answer
   x = 257,370.83