Finding the Third Proportional to 98,051 and 138,075.50

Step by Step Solution

1. Step 1: Write the proportion equation
   98,051 : 138,075.50 = 138,075.50 : x
2. Step 2: Convert to fraction form
   98,051/138,075.50 = 138,075.50/x
3. Step 3: Cross multiply
   98,051x = 138,075.50 × 138,075.50
4. Step 4: Simplify right side
   98,051x = 19,064,843,700.25
5. Step 5: Solve for x
   x = 19,064,843,700.25/98,051
6. Step 6: Final answer
   x = 194,438.03