Finding the Third Proportional to 66,596 and 141,667.50

Step by Step Solution

1. Step 1: Write the proportion equation
   66,596 : 141,667.50 = 141,667.50 : x
2. Step 2: Convert to fraction form
   66,596/141,667.50 = 141,667.50/x
3. Step 3: Cross multiply
   66,596x = 141,667.50 × 141,667.50
4. Step 4: Simplify right side
   66,596x = 20,069,680,556.25
5. Step 5: Solve for x
   x = 20,069,680,556.25/66,596
6. Step 6: Final answer
   x = 301,364.65