Finding the Third Proportional to 91,948.50 and 208,264.50

Step by Step Solution

1. Step 1: Write the proportion equation
   91,948.50 : 208,264.50 = 208,264.50 : x
2. Step 2: Convert to fraction form
   91,948.50/208,264.50 = 208,264.50/x
3. Step 3: Cross multiply
   91,948.50x = 208,264.50 × 208,264.50
4. Step 4: Simplify right side
   91,948.50x = 43,374,101,960.25
5. Step 5: Solve for x
   x = 43,374,101,960.25/91,948.50
6. Step 6: Final answer
   x = 471,721.69