Finding the Third Proportional to 58,506 and 138,061.50

Step by Step Solution

1. Step 1: Write the proportion equation
   58,506 : 138,061.50 = 138,061.50 : x
2. Step 2: Convert to fraction form
   58,506/138,061.50 = 138,061.50/x
3. Step 3: Cross multiply
   58,506x = 138,061.50 × 138,061.50
4. Step 4: Simplify right side
   58,506x = 19,060,977,782.25
5. Step 5: Solve for x
   x = 19,060,977,782.25/58,506
6. Step 6: Final answer
   x = 325,795.27