Finding the Third Proportional to 86,304 and 116,602.50

Step by Step Solution

1. Step 1: Write the proportion equation
   86,304 : 116,602.50 = 116,602.50 : x
2. Step 2: Convert to fraction form
   86,304/116,602.50 = 116,602.50/x
3. Step 3: Cross multiply
   86,304x = 116,602.50 × 116,602.50
4. Step 4: Simplify right side
   86,304x = 13,596,143,006.25
5. Step 5: Solve for x
   x = 13,596,143,006.25/86,304
6. Step 6: Final answer
   x = 157,537.81