Finding the Third Proportional to 69,534 and 146,758.50

Step by Step Solution

1. Step 1: Write the proportion equation
   69,534 : 146,758.50 = 146,758.50 : x
2. Step 2: Convert to fraction form
   69,534/146,758.50 = 146,758.50/x
3. Step 3: Cross multiply
   69,534x = 146,758.50 × 146,758.50
4. Step 4: Simplify right side
   69,534x = 21,538,057,322.25
5. Step 5: Solve for x
   x = 21,538,057,322.25/69,534
6. Step 6: Final answer
   x = 309,748.57