Finding the Third Proportional to 70,407 and 146,638.50

Step by Step Solution

1. Step 1: Write the proportion equation
   70,407 : 146,638.50 = 146,638.50 : x
2. Step 2: Convert to fraction form
   70,407/146,638.50 = 146,638.50/x
3. Step 3: Cross multiply
   70,407x = 146,638.50 × 146,638.50
4. Step 4: Simplify right side
   70,407x = 21,502,849,682.25
5. Step 5: Solve for x
   x = 21,502,849,682.25/70,407
6. Step 6: Final answer
   x = 305,407.84