Finding the Third Proportional to 67,278 and 105,547.50

Step by Step Solution

1. Step 1: Write the proportion equation
   67,278 : 105,547.50 = 105,547.50 : x
2. Step 2: Convert to fraction form
   67,278/105,547.50 = 105,547.50/x
3. Step 3: Cross multiply
   67,278x = 105,547.50 × 105,547.50
4. Step 4: Simplify right side
   67,278x = 11,140,274,756.25
5. Step 5: Solve for x
   x = 11,140,274,756.25/67,278
6. Step 6: Final answer
   x = 165,585.70