Finding the Third Proportional to 86,347 and 114,769.50

Step by Step Solution

1. Step 1: Write the proportion equation
   86,347 : 114,769.50 = 114,769.50 : x
2. Step 2: Convert to fraction form
   86,347/114,769.50 = 114,769.50/x
3. Step 3: Cross multiply
   86,347x = 114,769.50 × 114,769.50
4. Step 4: Simplify right side
   86,347x = 13,172,038,130.25
5. Step 5: Solve for x
   x = 13,172,038,130.25/86,347
6. Step 6: Final answer
   x = 152,547.72