Finding the Third Proportional to 101,742.50 and 139,420.50

Step by Step Solution

1. Step 1: Write the proportion equation
   101,742.50 : 139,420.50 = 139,420.50 : x
2. Step 2: Convert to fraction form
   101,742.50/139,420.50 = 139,420.50/x
3. Step 3: Cross multiply
   101,742.50x = 139,420.50 × 139,420.50
4. Step 4: Simplify right side
   101,742.50x = 19,438,075,820.25
5. Step 5: Solve for x
   x = 19,438,075,820.25/101,742.50
6. Step 6: Final answer
   x = 191,051.68